101221201010001 has 4 divisors (see below), whose sum is σ = 134961601346672. Its totient is φ = 67480800673332.

The previous prime is 101221201009939. The next prime is 101221201010029. The reversal of 101221201010001 is 100010102122101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101221201010001 - 2²⁶ = 101221133901137 is a prime.

It is a super-3 number, since 3×101221201010001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101221201010701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16870200168331 + ... + 16870200168336.

It is an arithmetic number, because the mean of its divisors is an integer number (33740400336668).

Almost surely, 2^{101221201010001} is an apocalyptic number.

It is an amenable number.

101221201010001 is a deficient number, since it is larger than the sum of its proper divisors (33740400336671).

101221201010001 is an equidigital number, since it uses as much as digits as its factorization.

101221201010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33740400336670.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101221201010001 its reverse (100010102122101), we get a palindrome (201231303132102).

It can be divided in two parts, 10122120 and 1010001, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 101221201010001 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, ten thousand, one".